Add or subtract.
-$\left( 9 m ^ { 2 } n - 2 m n + 4 m n ^ { 2 } \right) - \left( 5 m ^ { 2 } n + 2 m n - 6 m n ^ { 2 } \right)$
A) $4 m ^ { 4 } n ^ { 2 } - 4 m ^ { 2 } n ^ { 2 } + 10 m ^ { 2 } n ^ { 4 }$
B) $4 m ^ { 2 } n - 4 m n + 10 m n ^ { 2 }$
C) $4 m ^ { 2 } n + 6$
D) $4 m ^ { 4 } n ^ { 2 } - 4 m n + 10 m ^ { 2 } n ^ { 4 }$

Question

Quizplus · Accepted Answer

When we distribute the negative sign to the terms inside the second parentheses, we get:
\begin{align*}
& (9m^2n-2mn+4mn^2)-(5m^2n+2mn-6mn^2) \
& = 9m^2n - 2mn + 4mn^2 - 5m^2n - 2mn + 6mn^2 \
& = (9m^2n - 5m^2n) + (-2mn - 2mn) + (4mn^2 + 6mn^2) \
& = 4m^2n - 4mn + 10mn^2
\end{align*}

Add or Subtract (9m2n−2mn+4mn2)−(5m2n+2mn−6mn2)\left( 9 m ^ { 2 } n - 2 m n + 4 m n ^ { 2 } \right) - \left( 5 m ^ { 2 } n + 2 m n - 6 m n ^ { 2 } \right)(9m2n−2mn+4mn2)−(5m2n+2mn−6mn2)

Add or Subtract $\left( 9 m ^ { 2 } n - 2 m n + 4 m n ^ { 2 } \right) - \left( 5 m ^ { 2 } n + 2 m n - 6 m n ^ { 2 } \right)$